This is an extremely useful method for high school students while learning multiplication of larger numbers. A lot of time is spent on performing multiplication operations and multiplication is an integral concept in Mathematics. Using this method, multiplication of larger numbers can be performed in a single line. It can done as follows:

- For two digit numbers, follow an ‘X’ shape. We can proceed from either left to right or right to left. Here, let us see from right to left. Consider 63 * 83. It can be done as follows:

ð 3 * 3 = 9.

ð (6*3) + (8*3) = 42.

ð 6 * 8 = 48.

ð It becomes 48 42 9 = 5229

- For three digit numbers, eg, 421 * 123, proceed as follows:

ð 3 * 1 = 3

ð (3*2) + (2*1) = 8

ð (3*4) + (1*1) + (2*2) = 17

ð (4*2) + (2*1) = 10

ð 4 * 1 = 4

ð It becomes 4 10 17 8 3 = 4 117 8 3 = 51783

- For four digit numbers, eg, 1234 * 5631, proceed as follows:

ð 4 * 1 = 4

ð (3*1) + (4*3) = 15

ð (2*1) + (3*3) + (4*6) = 35

ð (1*1) + (2*3) + (3*6) + (4*5) = 45

ð (1*3) + (2*6) + (3*5) = 30

ð (1*6) + (2*5) = 16

ð 1 * 5 = 5

ð It becomes 5 16 30 45 35 15 4 = 5 16 30 45 3654 = 5 16 30 48654 = 5 16 348654 = 5 1948654 = 6948654.

Huge multiplications in a single line. Now that’s simple, isn’t it? 🙂

P S It’s also my favorite. This was what got me hooked !

### Like this:

Like Loading...

*Related*

This is very cool. However, I think this could be better explained with diagrams. What say we draw some up and make an improved version of this post?